Question

Which function is a linear function?

A.
1 − 3x2 = -y
B.
y + 7 = 5x
C.
x3 + 4 = y
D.
9(x2 − y) = 3
E.
y − x3 = 8

Answer 1

the answer is b, hope it works for you!

Explanation:

Answer 2

For this case we have that by definition, a linear function is of the form

`y = mx + b`

We have the following options:

A)
`1-3x ^ 2 = -y`

Rewriting:

`y = 3x ^ 2-1`

It's a quadratic function!

B)
`y + 7 = 5x`

Rewriting:

`y = 5x-7`

It's a linear function!

C)
`x ^ 3 + 4 = y`

Rewriting:

`y = x ^ 3 + 4`

It's a cubic function.

D)
`9 (x ^ 2-y) = 3`

Rewriting:

`9x ^ 2-9y = 3\\9y = 9x ^ 2-3\\y = x ^ 2- \frac {3} {9}`

It's a quadratic function!

E)
`y-x ^ 3 = 8`

Rewriting:

`y = x ^ 3 + 8`

It's a cubic function!

Answer:

The linear function is option B